传统民居穿销直榫中节点弯矩-转角关系理论分析

THEORETICAL ANALYSIS ON MOMENT-ROTATION RELATIONSHIP OF INTERIOR STRAIGHT MORTISE-TENON JOINT WITH WOODEN PEG OF TRADITIONAL DWELLINGS

  • 摘要: 以西南传统民居穿斗式木结构中的穿销直榫中节点为研究对象,分析其受力机理,通过建立几何方程、平衡方程和物理方程,推导了节点的弯距-转角理论关系模型。将弯矩-转角理论曲线与试验测试曲线进行对比,发现两者吻合较好,验证了理论关系模型的合理性。进而探讨了榫卯间摩擦系数、榫头宽度和榫卯间初始缝隙对节点转动刚度和抗弯承载力的影响。结果表明:摩擦系数的增大可提高节点的抗弯承载力,但对节点初始转动刚度的影响较小;榫头宽度的增大可以提高节点的抗弯承载力和初始转动刚度;榫卯间初始缝隙的增加会增大节点滑移量,降低节点的抗弯承载力和初始转动刚度。

     

    Abstract: The mechanism of the interior straight mortise-tenon joint with wooden peg was analyzed. Through the establishment of geometric, balance and physical equations, the moment-rotation theoretical calculation formula of this type of joint was derived. A good agreement between the prediction and test result was observed, which verified the accuracy of the theoretical calculation formula. Furthermore, the influence of the friction coefficient among mortise and tenon, the width of tenon and the initial gap between mortise and tenon on the moment-resisting performance of the joint were discussed. The results showed that the increase of friction coefficient could improve the moment-resisting capacity of the joint, but had little effect on the initial rotational stiffness of the joint. The increase of tenon width could improve both the moment-resisting capacity and the initial rotational stiffness of the joint. With the increase of the initial gap between mortise and tenon, the slip displacement of the joint increases, and the moment-resisting capacity and initial rotational stiffness of the joint decreases.

     

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